Properties

Label 2550.bb
Number of curves $1$
Conductor $2550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 2550.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2550.bb1 2550bf1 \([1, 0, 0, -1938, 25092]\) \(1288009359025/304570368\) \(190356480000\) \([]\) \(4368\) \(0.87591\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2550.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2550.bb do not have complex multiplication.

Modular form 2550.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - 3 q^{7} + q^{8} + q^{9} - 5 q^{11} + q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + q^{17} + q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display